EspritdeKzhrot’s diary

Pick up the interesting topics of naval security from the U.S. Department of Defense and U.S. Navy trend reports and so on. Also, I will make a note and follow on my ideas.

Three-dimensional development diagram of a positive cube in four-dimensional space

I'll think again about the article I wrote earlier.

 

Imagine a Three-dimensional development diagram of a positive cube in four-dimensional space.

 

A two-dimensional expansion diagram of a positive cube in three-dimensional space is a cross shape consisting of six squares when the four sides of a square on one face of a cube are opened 90 degrees, and the last square is opened 90 degrees on the side.

 

Even if the two-dimensional development diagram is expanded to one dimension, it becomes one line, so it can only be expanded to one lower dimension.

 

 Similarly, a three-dimensional expansion diagram of a positive cube in four-dimensional space is a thick cross shape consisting of six cubes, consisting of six cubes, opening the last cube 90 degrees open on one cube and 90 degrees on the face.

 

It's shaped like the one in Dalí's painting, maybe.

 

When the three-dimensional development diagram is expanded to two dimensions, six crosses consisting of six squares become one side that overlaps in part, overlapping surfaces are born, cannot be drawn, and cannot be expanded in two dimensions.

 

Then, the 4th order expansion diagram of the positive cube in 5D space is expanded to 6 4D cube crosses, and 36 3D cube crosses with 6 pieces ×6 each, but overlapping 3D cubes cannot be drawn in 3D and cannot be expanded.

 

Only repeat below?  An unfolded view is one that draws in a lower dimension and makes you imagine a shape on top of one?

 

First of all, it is necessary to study from the definition. 

A right conclusion?